Overview of the Phase Space Formulation of Quantum Mechanics with Application to Quantum Technologies
Autor: | Russell P. Rundle, Mark J. Everitt |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: |
Nuclear and High Energy Physics
Quantum Physics Computer science FOS: Physical sciences Statistical and Nonlinear Physics Condensed Matter Physics 01 natural sciences 010305 fluids & plasmas Electronic Optical and Magnetic Materials Quantum technology Computational Theory and Mathematics Quantum mechanics Qubit Phase space 0103 physical sciences Quantum system Wigner distribution function Phase space formulation Electrical and Electronic Engineering Quantum information Quantum Physics (quant-ph) 010306 general physics Quantum Mathematical Physics |
Zdroj: | Rundle, R P & Everitt, M 2021, ' Overview of the Phase Space Formulation of Quantum Mechanics with Application to Quantum Technologies ', Advanced Quantum Technologies, vol. 4, no. 6, 2100016 . https://doi.org/10.1002/qute.202100016 |
DOI: | 10.1002/qute.202100016 |
Popis: | The phase-space formulation of quantum mechanics has recently seen increased use in testing quantum technologies, including metho ds of tomography for state verification and device validation. Here, an overview of quantum mechanics in phase space is presented. The formulation to generate a generalized phase-space function for any arbitrary quantum system is shown, such as the Wigner and Weyl functions along with the asso ciated Q and P functions. Examples of how these different formulations have b een used in quantum technologies are provided, with a focus on discrete quantum systems, qubits in particular. Also provided are some results that, to the authors' knowledge, have not been published elsewhere. These results provide insight into the relation between different representations of phase space and how the phase-space representation is a powerful tool in understanding quantum information and quantum technologies. 42 pages, 4 figures |
Databáze: | OpenAIRE |
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